Eventually simple IAPS

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BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]
ANALOGY: This is an analogue in IAPS of a property encountered in group. Specifically, it is a IAPS property analogous to the group property: simple group
View other analogues of simple group | View other analogues in IAPSs of group properties (OR, View as a tabulated list)

This article defines a property that can be evaluated for an IAPS of groups

Definition

Let (G,\Phi) be an IAPS of groups. It is said to be eventually simple if there exists a N such that for all n \ge N, G_n is a simple group.

Relation with other properties

Weaker properties